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12102021111120 = 2435139362770417
BaseRepresentation
bin1011000000011011100010…
…1010110101110101010000
31120211221102122210112021120
42300012320222311311100
53041234414401023440
641423331452322240
72356225236110163
oct260067052656520
946757378715246
1012102021111120
113946490466676
121435552473380
1369a2a5b58765
142dba53231ada
1515ec047dcdd0
hexb01b8ab5d50

12102021111120 has 80 divisors (see below), whose sum is σ = 37786166738880. Its totient is φ = 3203988314112.

The previous prime is 12102021111053. The next prime is 12102021111139. The reversal of 12102021111120 is 2111112020121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12102021111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181351849 + ... + 181418568.

It is an arithmetic number, because the mean of its divisors is an integer number (472327084236).

Almost surely, 212102021111120 is an apocalyptic number.

12102021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102021111120 is an abundant number, since it is smaller than the sum of its proper divisors (25684145627760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102021111120 is a wasteful number, since it uses less digits than its factorization.

12102021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362770572 (or 362770566 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102021111120 its reverse (2111112020121), we get a palindrome (14213133131241).

Subtracting from 12102021111120 its reverse (2111112020121), we obtain a palindrome (9990909090999).

The spelling of 12102021111120 in words is "twelve trillion, one hundred two billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 362770417 725540834 1088311251 1451081668 1813852085 2176622502 2902163336 3627704170 4353245004 5441556255 5804326672 7255408340 8706490008 10883112510 14510816680 17412980016 21766225020 29021633360 43532450040 50425087963 87064900080 100850175926 151275263889 201700351852 252125439815 302550527778 403400703704 504250879630 605101055556 756376319445 806801407408 1008501759260 1210202111112 1512752638890 2017003518520 2420404222224 3025505277780 4034007037040 6051010555560 12102021111120